345801830400 has 936 divisors, whose sum is σ = 1384560115120. Its totient is φ = 85040824320.

The previous prime is 345801830371. The next prime is 345801830401. The reversal of 345801830400 is 4038108543.

345801830400 is a `hidden beast` number, since 3 + 4 + 580 + 1 + 8 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345801830401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323481066 + ... + 323482134.

Almost surely, 2^345801830400 is an apocalyptic number.

345801830400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345801830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692280057560).

345801830400 is an abundant number, since it is smaller than the sum of its proper divisors (1038758284720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345801830400 is a wasteful number, since it uses less digits than its factorization.

345801830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 345801830400 its reverse (4038108543), we get a palindrome (349839938943).

The spelling of 345801830400 in words is "three hundred forty-five billion, eight hundred one million, eight hundred thirty thousand, four hundred".